21 citations · 75 across the 13 of their papers we have counts for
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Blow-up results for a strongly perturbed semilinear heat equation: Theoretical analysis and numerical method
Van Tien Nguyen, Hatem Zaag
We consider a blow-up solution for a strongly perturbed semilinear heat equation with Sobolev subcritical power nonlinearity. Working in the framework of similarity variables, we f…
Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations
Van Tien Nguyen, Hatem Zaag
We construct a solution for a class of strongly perturbed semilinear heat equations which blows up in finite time with a prescribed blow-up profile. The construction relies on the…
On the blow-up results for a class of strongly perturbed semilinear heat equations
Van Tien Nguyen
We consider in this work some class of strongly perturbed for the semilinear heat equation with Sobolev sub-critical power nonlinearity. We first derive a Lyapunov functional in si…
Numerical analysis of the rescaling method for parabolic problems with blow-up in finite time
Van Tien Nguyen
In this work, we study the numerical solution for parabolic equations whose solutions have a common property of blowing up in finite time and the equations are invariant under the…